A Novel Family of Discrete Variant Inequality for Jensen and Hermite-Hadamard Types in the p-Harmonic Convex Function Setting

Authors

Faiza Azhar Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan https://orcid.org/0009-0002-0025-6973
Muhammad Imran Asjad Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan https://orcid.org/0000-0002-1484-5114
Majeed Ahmad Yousif Department of Mathematics, College of Education, University of Zakho, Duhok, 42001, Iraq https://orcid.org/0000-0002-0206-3828
Alina Alb Lupas Department of Mathematics and Computer Science, University of Oradea, Oradea, 410087, Romania https://orcid.org/0000-0002-2855-7535
Imran Abbas Baloch Department of Mathematics, Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54600, Pakistan https://orcid.org/0000-0001-8941-2527
Pshtiwan Othman Mohammed Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah, 46001, Iraq https://orcid.org/0000-0001-6837-8075

DOI:

https://doi.org/10.37256/cm.7120268590

Keywords:

harmonic convex functions, p-harmonic convex functions, (p; h)-harmonic convex functions, Jensen's type inequality, majorization inequality, Hermite-Hadamard-type inequality

Abstract

This paper introduces a novel form of the discrete Jensen-type inequality specifically designed for p-harmonic convex functions, and extend it to the broader family of (p, h)-harmonic convex functions. Moreover, we have established several majorization-type inequalities in the setting of (p, h)-harmonic convexity. In addition, certain refinements of these inequalities are provided through Hermite-Hadamard-type results for p-harmonically convex functions.

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Published

2026-01-27

How to Cite

Azhar F, Asjad MI, Yousif MA, Lupas AA, Baloch IA, Mohammed PO. A Novel Family of Discrete Variant Inequality for Jensen and Hermite-Hadamard Types in the <i>p</i>-Harmonic Convex Function Setting. Contemp. Math. [Internet]. 2026 Jan. 27 [cited 2026 Mar. 3];7(1):940-64. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/8590

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Issue

Contemporary Mathematics, Volume 7 Issue 1 (2026), 1-1368

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.